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Finding the Third Proportional to 77,153 and 163,786

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Solution

The third proportional to 77,153 and 163,786 is: 347,696.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,153 : 163,786 = 163,786 : x
  2. Step 2: Convert to fraction form
    77,153/163,786 = 163,786/x
  3. Step 3: Cross multiply
    77,153x = 163,786 × 163,786
  4. Step 4: Simplify right side
    77,153x = 26,825,853,796
  5. Step 5: Solve for x
    x = 26,825,853,796/77,153
  6. Step 6: Final answer
    x = 347,696.83

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.